Combining Texts

All the ideas for 'The Problem of Empty Names', 'Existentialism and Humanism' and 'Must We Believe in Set Theory?'

expand these ideas     |    start again     |     specify just one area for these texts

27 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
10482 The logic of ZF is classical first-order predicate logic with identity [Boolos]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
10492 A few axioms of set theory 'force themselves on us', but most of them don't [Boolos]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
10485 Naïve sets are inconsistent: there is no set for things that do not belong to themselves [Boolos]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
10484 The iterative conception says sets are formed at stages; some are 'earlier', and must be formed first [Boolos]
5. Theory of Logic / F. Referring in Logic / 1. Naming / e. Empty names
18946 Unreflectively, we all assume there are nonexistents, and we can refer to them [Reimer]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
10491 Infinite natural numbers is as obvious as infinite sentences in English [Boolos]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities
10483 Mathematics and science do not require very high orders of infinity [Boolos]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
10490 Mathematics isn't surprising, given that we experience many objects as abstract [Boolos]
8. Modes of Existence / D. Universals / 1. Universals
10488 It is lunacy to think we only see ink-marks, and not word-types [Boolos]
9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta
10487 I am a fan of abstract objects, and confident of their existence [Boolos]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
10489 We deal with abstract objects all the time: software, poems, mistakes, triangles.. [Boolos]
16. Persons / A. Concept of a Person / 4. Persons as Agents
3847 Man is nothing else but the sum of his actions [Sartre]
16. Persons / F. Free Will / 1. Nature of Free Will
3846 Man IS freedom [Sartre]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
3843 There is no human nature [Sartre]
22. Metaethics / B. Value / 1. Nature of Value / a. Nature of value
20762 There are no values to justify us, and no excuses [Sartre]
22. Metaethics / B. Value / 1. Nature of Value / d. Subjective value
3852 If values depend on us, freedom is the foundation of all values [Sartre]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
20764 In becoming what we want to be we create what we think man ought to be [Sartre]
23. Ethics / C. Virtue Theory / 3. Virtues / d. Courage
3848 Cowards are responsible for their cowardice [Sartre]
23. Ethics / D. Deontological Ethics / 3. Universalisability
20763 When my personal freedom becomes involved, I must want freedom for everyone else [Sartre]
23. Ethics / F. Existentialism / 1. Existentialism
22229 Existentialists says that cowards and heroes make themselves [Sartre]
23. Ethics / F. Existentialism / 5. Existence-Essence
3842 Existence before essence (or begin with the subjective) [Sartre]
6868 'Existence precedes essence' means we have no pre-existing self, but create it through existence [Sartre, by Le Poidevin]
23. Ethics / F. Existentialism / 6. Authentic Self
3844 Existentialism says man is whatever he makes of himself [Sartre]
20754 It is dishonest to offer passions as an excuse [Sartre]
23. Ethics / F. Existentialism / 7. Existential Action
6571 When a man must choose between his mother and the Resistance, no theory can help [Sartre, by Fogelin]
3851 If I do not choose, that is still a choice [Sartre]
28. God / A. Divine Nature / 6. Divine Morality / d. God decrees morality
3845 Without God there is no intelligibility or value [Sartre]